Re: lambertW2
- From: "I.N. Galidakis" <morpheus@xxxxxxxxxxxx>
- Date: Fri, 28 Dec 2007 00:12:56 +0200
galathaea wrote:
On Dec 27, 9:42 am, "I.N. Galidakis" <morph...@xxxxxxxxxxxx> wrote:
tommy1729 wrote:
z= lambertW2(z)* exp( exp (lambertW2(z)) )
in other words lambertW2(z) is the inverse of z*exp(exp(z))
No it's not.
The principal branch of the inverse of z*exp(exp(z)) is real-valued
for example in [0,+oo).
W(2,x) is complex valued there.
The inverse of z*exp(exp(z)) cannot be expressed in terms of the
Lambert W function.
a nice function ...
i suspect he was defining a "second" lambert-like function
not using the common lambert w here
Ah, ok then. I thought that by lambertW2(z) he meant the second branch of the
regular Lambert W function, W(2,z), sometimes written as W_2(z).
Trying to guess what tommy means is difficult business ;o)
--
I.N. Galidakis
.
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